Field of statistics

Consider the following function . It is known in the field of statistics as the probability densityfunction of the Normal Distribution or the Gaussian Distribution ._( X – C ) 2f ( x ) =`1292 – 2 =V 2 IT __^This function corresponds to the shape of , for example , the cross- section of a sand pile underneatha hopper ( or in a sand clock ) . Plot this function and determine if it is symmetric . Find thecoordinates of the maximum ( the x – coordinate is the mean of the distribution ) and the coordinatesof the inflection points ( the x – coordinates are the standard deviation ) .*As the amount of calculation needed here is not trivial , proceed patiently and keep organized .

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